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x=600\sqrt{\frac{9}{100}}
Multiply 6 and 100 to get 600.
x=600\times \frac{3}{10}
Rewrite the square root of the division \frac{9}{100} as the division of square roots \frac{\sqrt{9}}{\sqrt{100}}. Take the square root of both numerator and denominator.
x=\frac{600\times 3}{10}
Express 600\times \frac{3}{10} as a single fraction.
x=\frac{1800}{10}
Multiply 600 and 3 to get 1800.
x=180
Divide 1800 by 10 to get 180.